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Finding the Third Proportional to 92,206 and 139,156

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Solution

The third proportional to 92,206 and 139,156 is: 210,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206 : 139,156 = 139,156 : x
  2. Step 2: Convert to fraction form
    92,206/139,156 = 139,156/x
  3. Step 3: Cross multiply
    92,206x = 139,156 × 139,156
  4. Step 4: Simplify right side
    92,206x = 19,364,392,336
  5. Step 5: Solve for x
    x = 19,364,392,336/92,206
  6. Step 6: Final answer
    x = 210,012.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.